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10519383420 = 2232571317371021
BaseRepresentation
bin10011100110000000…
…10000110101111100
31000011010002001020100
421303000100311330
5133020430232140
64455454521100
7521452166220
oct116300206574
930133061210
1010519383420
114508a10507
122056b06190
13cb849b140
1471b122780
154187a4530
hex273010d7c

10519383420 has 576 divisors, whose sum is σ = 42748183296. Its totient is φ = 2030469120.

The previous prime is 10519383401. The next prime is 10519383451. The reversal of 10519383420 is 2438391501.

It is a super-2 number, since 2×105193834202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10302510 + ... + 10303530.

It is an arithmetic number, because the mean of its divisors is an integer number (74215596).

Almost surely, 210519383420 is an apocalyptic number.

10519383420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10519383420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374091648).

10519383420 is an abundant number, since it is smaller than the sum of its proper divisors (32228799876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10519383420 is a wasteful number, since it uses less digits than its factorization.

10519383420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10519383420 in words is "ten billion, five hundred nineteen million, three hundred eighty-three thousand, four hundred twenty".